1

GATE ECE 2015 Set 3

MCQ (Single Correct Answer)

+2

-0.6

Suppose x $$\left[ n \right]$$ is an absolutely summable discrete-time signal. Its z-transform is a rational function
with two poles and two zeroes. The poles are at z = ± 2j. Which one of the following statements is
TRUE for the signal x=$$\left[ n \right]$$ ?

2

GATE ECE 2015 Set 1

MCQ (Single Correct Answer)

+2

-0.6

The pole-zero diagram of a causal and stable discrete-time system is shown in the figure. The zero at the origin has
multiplicity 4. The impulse response of the system is ℎ[n]. If ℎ[0] =1, we can conclude.

3

GATE ECE 2015 Set 1

MCQ (Single Correct Answer)

+2

-0.6

For the discrete-time system shown in the figure, the poles of the system transfer function are located at

4

GATE ECE 2014 Set 3

Numerical

+2

-0

The z-transform of the sequence x$$\left[ n \right]$$ is given by x(z)= $${1 \over {{{(1 - 2{z^{ - 1}})}^2}}}$$ , with the region of convergence $$\left| z \right| > 2$$. Then, $$x\left[ 2 \right]$$ is ____________________.

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Questions Asked from Discrete Time Signal Z Transform (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE Subjects

Signals and Systems

Representation of Continuous Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Discrete Time Signal Fourier Series Fourier Transform Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Transmission of Signal Through Continuous Time LTI Systems Sampling Transmission of Signal Through Discrete Time Lti Systems Miscellaneous

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics